A meshless local radial basis function method for two-dimensional incompressible Navier-Stokes equations

Zhiheng Wang, Zhu Huang, Wei Zhang, Guang Xi

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

A meshless local radial basis function method is developed for two-dimensional incompressible Navier-Stokes equations. The distributed nodes used to store the variables are obtained by the philosophy of an unstructured mesh, which results in two main advantages of the method. One is that the unstructured nodes generation in the computational domain is quite simple, without much concern about the mesh quality; the other is that the localization of the obtained collocations for the discretization of equations is performed conveniently with the supporting nodes. The algebraic system is solved by a semi-implicit pseudo-time method, in which the convective and source terms are explicitly marched by the Runge-Kutta method, and the diffusive terms are implicitly solved. The proposed method is validated by several benchmark problems, including natural convection in a square cavity, the lid-driven cavity flow, and the natural convection in a square cavity containing a circular cylinder, and very good agreement with the existing results are obtained.
Original languageEnglish (US)
Pages (from-to)320-337
Number of pages18
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume67
Issue number4
DOIs
StatePublished - Dec 10 2014

ASJC Scopus subject areas

  • Mechanics of Materials
  • Modeling and Simulation
  • Computer Science Applications
  • Numerical Analysis
  • Condensed Matter Physics

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